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Aleks [24]
2 years ago
10

Find the missing value when given the modulus. |48+bi|=50

Mathematics
1 answer:
xxMikexx [17]2 years ago
4 0

Answer:

missing value b is 14

Step-by-step explanation:

We have been given the modulus of a complex number which is

r=\sqrt{a^2+b^2}

Here on comparing the given complex number with general a+bi we get:

a=48 and b=b

On substituting the values in the formula for modulus we get:

\sqrt{48^2+b^2}=50

\Rightarrow 2304+b^2=50^2

\Rightarrow b^2=2500-2304

\Rightarrow b^2=196

\Rightarrow b=\sqrt{196}

\Rightarrow b=14

Therefore, missing value b is 14

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loris [4]

Answer:

Step-by-step explanation:

207

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divide that by 10

2070÷10= 207

3 0
2 years ago
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Cathy rolls a number cube that is labeled from 1 to 6.
MatroZZZ [7]

Answer: 2/3

Cathy rolls a number cube that is labeled from 1 to 6.

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she rolls an even number or a multiple of 3

Outcomes of an even number = {2,4,6}

Outcomes of multiple of 3 = {3,6}

so favorable outcomes of even number or a multiple of 3 = {2,3,4,6}

Probability ( any event) =number of favorable outcomes divide by total  number of outcomes

probability(even number or a multiple of 3) = \frac{4}{6}=\frac{2}{3}

7 0
3 years ago
Pete the penguin loves to self down his favorite hill.If he hits a speed of 50m/s after 5 seconds,what is the acceleration
Vilka [71]
I have to admit I don't know what exactly you are asking, but I think this is it: 10m/s.
Divide m/s by time.
8 0
3 years ago
In​ 2012, a health insurance plan for a​ 35-year-old and his or her spouse costs ​$301 per month. That rate increased to ​$430 p
katrin2010 [14]

Answer: See explanation

Step-by-step explanation:

Let the cost for insuring the applicant = a.

Let the cost for insuring the spouse = b

Let the cost for insuring the first child= c

Let the cost for insuring the second child = d

A 35-year-old health insurance plan and that of his or her spouse costs ​$301 per month. This means that:

a + b = $301.

That rate increased to ​$430 per month if a child were included. This means the cost of a child will be:

= $430 - $301

= $129

The rate increased to $538 per month if two children were included. This means the cost for the second child will be:

= $538 - $430

= $108

The rate dropped to ​$269 per month for just the applicant and one child. His will be the cost of the applicant and a single child. This can be written as:

a + $129 = $269

a = $269 - $129

a = $140

Since a + b = $301

$140 + b = $301

b = $301 - $140

b = $161

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The spouse = $161

The first​ child = $129

The second child = $108

3 0
2 years ago
Find the coordinates of the point <br> 3/10 of the way from A to B.
meriva
The horizontal distance from A to the point = 3/10 * 14 = 4.2, so the c coordinate of the point is -3+ 4.2
= 1.2.
Vertical distance = 3/10 * 12 = 3.6
So the y coordinate = -5+ 3.6
= -1.4.
Answer is (1.2, -1.4)
4 0
1 year ago
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